Given numbers are 946,696,136,528,313

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 946,696,136,528,313 is 3503431536.

Find LCM of 946,696,136,528,313 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 2 x 3 x 11 x 43 x 29 x 17 x 2 x 313 = 3503431536

Therefore, the lowest common multiple of 946,696,136,528,313 is 3503431536.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

946 x 696 x 136 x 528 x 313 = 14798494808064

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

946 : 1, 2, 11, 22, 43, 86, 473, 946

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

136 : 1, 2, 4, 8, 17, 34, 68, 136

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

313 : 1, 313

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,696,136,528,313, is 1.

Now, the common factors can be found like this.

946:2x 11x 43

696:2x 2x 2x 3x 29

136:2x 2x 2x 17

528:2x 2x 2x 2x 3x 11

313:313

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 2x 2x 2x 3x 11 = 4224

Therefore, the value for common factors is 4224.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 14798494808064/(1x4224)

LCM = 14798494808064/4224

LCM = 3503431536

Thus, we can understand that the LCM of 946,696,136,528,313 is 3503431536.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 750, 886, 801, 472, 805
• LCM of 103, 774, 339, 844, 793
• LCM of 488, 334, 987, 669, 617
• LCM of 653, 508, 221, 664, 785
• LCM of 964, 933, 712, 174, 552

1. What is the LCM of 946, 696, 136, 528, 313?

Answer: LCM of 946, 696, 136, 528, 313 is 3503431536.

2. How to calculate the LCM of 946, 696, 136, 528, 313?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 946, 696, 136, 528, 313.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.